Bent序列和Gold-like序列的構(gòu)造
Construction of Bent Sequences and Gold-like Sequences
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摘要: 該文研究Bent序列和Gold-like序列, 設(shè)計(jì)了3類快速生成的Bent序列, 此外, 基于Klapper(1993)對(duì)幾何序列相關(guān)性的分析, 遞歸地構(gòu)造了一類Gold-like序列, 所得的Gold-like序列涵括了Khoo, Gong和Stinson(2002)遞歸生成的Gold-like序列。 根據(jù)Olsen, Scholtz和Welch(1982)給出的Bent序列簇的構(gòu)造方法, 該文得到的Bent序列可以迅速地構(gòu)造Bent序列簇。此外, 該文得到的Gold-like序列可以用來(lái)設(shè)計(jì)大周期的擴(kuò)頻序列簇。
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關(guān)鍵詞:
- Bent序列; Gold-like序列; Hadamard變換
Abstract: In this paper, three families of Bent sequences that can be quickly generated are presented. Then based on the analysis of correlation of geometric sequences by Klapper in 1993, a family of Gold-like sequences is recursively constructed, which contains the Gold-like sequences constructed in 2002 by Khoo, Gong and Stinson. On account of the theory of Olsen, Scholtz and Welch, three Bent sequence families used in a DS CDMA system can be quickly obtained by the Bent sequences here. And sequence families with large periods can be obtained by Gold-like sequences recursively constructed. -
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